100011000001117 has 2 divisors, whose sum is σ = 100011000001118. Its totient is φ = 100011000001116.

The previous prime is 100011000001001. The next prime is 100011000001181. The reversal of 100011000001117 is 711100000110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94038577627801 + 5972422373316 = 9697349^2 + 2443854^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011000001117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011000001097 and 100011000001106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011090001117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500000558 + 50005500000559.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500000559).

Almost surely, 2^{100011000001117} is an apocalyptic number.

It is an amenable number.

100011000001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011000001117 is an equidigital number, since it uses as much as digits as its factorization.

100011000001117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 100011000001117 its reverse (711100000110001), we get a palindrome (811111000111118).

The spelling of 100011000001117 in words is "one hundred trillion, eleven billion, one thousand, one hundred seventeen".